Brown the Kielbasa: Slice the kielbasa into bite-sized pieces and brown them in a skillet over medium heat on the stovetop. This will give the kielbasa a nice, savory flavor. Once browned, transfer the kielbasa to the slow cooker.
Add the Remaining Ingredients: Add the diced potatoes, chopped cabbage, sliced onion, salt, pepper, thyme, chicken broth, and cayenne pepper (if using) to the slow cooker. Stir to combine all the ingredients.
Slow Cook: Cover the slow cooker with the lid and cook on LOW for 6 hours. Resist the urge to open the lid during cooking to keep the heat consistent.
Serve and Enjoy: After 6 hours, stir the dish and serve hot. Enjoy this hearty and flavorful meal on its own or with crusty bread on the side!
